Problem Solving - 26

n = 2*3*5*7*11*13/77k ...... If n is an integer and then which of the following could be the value of k?

(A) 22
(B) 26
(C) 35
(D) 54
(E) 60


Answer: B

n = 2*3*5*7*11*13/77k = 2*3*5*7*11*13/7*11*k = 2*3*5*13/k
=> k must be the product of any combination of product of these numbers.

From the given choices only 26 ------ (2*13) fits.